Question

The reduced row echelon form of a system of linear equations is given.Write the system of equations corresponding to the given matrix. Use x, y; or x,

Forms of linear equations

The reduced row echelon form of a system of linear equations is given.Write the system of equations corresponding to the given matrix. Use $$x, y$$; or $$x, y, z;$$ or $$x_{1},x_{2},x_{3},x_{4}$$ as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution.
$$[1,0;1,0;5,-1]$$

2021-07-01

Convert the matrix to a system of equations, using the numbers in the first column as coefficients for x and numbers in the second column as coefficients for y.
$$x=5$$
$$y=-1$$
The system is consistent because there are no equations,or combination of equations, that are false for all real values of the variables. consistent
In this case, the solution is the system of equations. $$x=5$$
$$y=-1$$